Classifying weighted projective spaces

Bahri, Anthony and Franz, Matthias and Notbohm, Dietrich and Ray, Nigel (2011) Classifying weighted projective spaces. [MIMS Preprint]

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Abstract

We obtain two classifications of complex weighted projective spaces, up to homeomorphism and up to homotopy equivalence. The first turns out to coincide with Al Amrani's classification up to isomorphism of algebraic varieties, and the second follows from our proof that the Mislin genus of any weighted projective space is rigid.

Item Type: MIMS Preprint
Subjects: MSC 2010, the AMS's Mathematics Subject Classification > 51 Geometry (See also algebraic geometry)
MSC 2010, the AMS's Mathematics Subject Classification > 55 Algebraic topology
Depositing User: Nigel Ray
Date Deposited: 14 Sep 2011
Last Modified: 08 Nov 2017 18:18
URI: http://eprints.maths.manchester.ac.uk/id/eprint/1671

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